भारतकोश
सिद्धान्तशिरोमणि: गणिताध्याय (भास्कराचार्य - ग्रहगणित, मध्यमाधिकार व स्पष्टाधिकार सटीक)

सिद्धान्तशिरोमणि: गणिताध्याय (भास्कराचार्य - ग्रहगणित, मध्यमाधिकार व स्पष्टाधिकार सटीक)

Siddhanta Shiromani Ganitadhyaya of Bhaskaracharya with Commentary

भास्कराचार्य द्वितीय द्वारा

DevanagariHindipublished573 पृष्ठ

पृष्ठ 70, कुल 573 में से

संदर्भ में पढ़ें
पृष्ठ 70

50 circumference of the universe —————————————————————————————— = 4331497½ yojanas Number of sidereal revolutions (because (324000 × 57753300000) / 4320000000 = (3240 / 432) × 577533 = (15 / 2) × 577533 = 8662995 / 2 = 4331497½). Also, the circumference of the stellar universe was presumed to be sixty times that of the Sun’s orbit. With the constants obtained for the Moon’s diameter and distance and with assumption that all the planets have the same daily motion, the constants pertaining to the Sun and the other planets were obtained. We shall resume this topic in another context. Verse 6. The mean daily motion of the planets. The circumference of the universe divided by the num- ber of days in the Kalpa, gives the daily spatial motion of a planet. The planets move thus a distance of 11858¾ yojanas in a day. Comm. Already explained. Verse 7, and half the verse 8. The Ahargaṇa multiplied by 11859 decreased by the quotient obtained by dividing the product of the Ahargaṇa and 9921 by 35419 gives the distance covered by a planet in yojanas. These yojanas divided by the circumference of the planet’s orbit gives the fraction of a revolution and the integral number of revolu- tions made. Comm. Let the Ahargaṇa be A; every planet should have described a space equal to A × D where D is the dis- tance traversed per day and is just a little less than 11859, or more correctly should have described a space equal to A × (C / c) where C is the afore-said circumference of the